document.write( "Question 1074038: The radius of a cylindrical gift box is (3x+4) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form. \n" ); document.write( "
Algebra.Com's Answer #688879 by htmentor(1343)![]() ![]() You can put this solution on YOUR website! The surface area of a cylinder A = 2*pi*r*h (lateral) + 2*pi*r^2 (end caps), where r is the radius and h is the height. \n" ); document.write( "Given: r = 3x+4; h = 2*r -> h = 2(3x+4) \n" ); document.write( "A = 2*pi(2(3x+4)^2 + (3x+4)^2) = 2*pi*(3(3x+4)^2) = 6*pi*(3x+4)^2 \n" ); document.write( "I leave it as an exercise for you to expand and express in standard form. \n" ); document.write( " \n" ); document.write( " |